Domain and Range
State the domain and range of the function
y=(x-3)2-7
Domain: all real numbers
Range: y≥-7
Find the vertex from the following function:
y=(x-3)2-9
(3,-9)
Complete the square
y=x2-2x+9
y=(x-1)2+8
State the shifts (right/left & up/down) of the following parabola:
y=(x-3)2-9
Right 3
Down 9
State the shifts (right/left & up/down) of the following functions:
y=|x-9|+3
Right 9
Up 3
State the Domain and Range of the Function
y=(x+3)3-4
Domain: all real numbers
Range: all real numbers
Find the vertex from the following function:
y=(x+2)2+10
(-2,10)
Complete the square
y=x2+14x-52
y=(x+7)2-101
State the shifts (right/left & up/down) of the following parabola:
y=(x+2)2-18
Left 2
Down 18
State the shifts (right/left & up/down) of the following functions:
y=|x+3|-5
Left 3
Down 5
State the domain and range of the function
y=|x-5|-9
Domain: all real numbers
Range: y≥-9
Find the vertex from the following function:
y=(x+8)2-13
(-8,-13)
Complete the square
y=x2-8x+34
y=(x-4)2+18
State the shifts (right/left & up/down) of the following parabola:
y=(x-10)2+12
Right 10
Up 12
State the shifts (right/left & up/down) of the following functions:
y=(x-4)3+8
Right 4
Up 8
State the domain and range of the function
y=x3+19
Domain: All real numbers
Range: All real numbers
Find the vertex from the following function:
y=x2-10x+5
(5,-20)
Complete the square
y=x2+38x+78
y=(x+19)2-283
State the shifts (right/left & up/down) of the following parabola:
y=x2-4x+13
Right 2
Up 9
State the shifts (right/left & up/down) of the following functions:
y=65|x-100|+8734
Right 100
Up 8734
State the domain and range of the function
y=x2+2
Domain: all real numbers
Range: y≥2
Find the vertex from the following function:
y=x2+9x-12
(-4.5,-32.25)
Complete the square
y=x2-87x+974
y=(x-43.5)2-918.25
State the shifts (right/left & up/down) of the following parabola:
y=x2+7x+19
Left 3.5
Up 6.75
State the shifts (right/left & up/down) of the following functions:
y=-2(x+3)3-7
Left 3
Down 7